The functions f(x) = –(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-the-square method. is the vertex for each function a minimum or a maximum? explain your reasoning for each function.

The vertex form of a quadratic function: .
If a>0, then the parabola opens upwards and the vertex is the minimum of the function.
If a<0, then the parabola opens downwards and the vertex is the maximum of the function.


a<0, so the vertex is the maximum of the function.


a>0, so the vertex is the minimum of the function.